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Simplifying 4 + -1(2y + -1) = 2(5y + 9) + y Reorder the terms: 4 + -1(-1 + 2y) = 2(5y + 9) + y 4 + (-1 * -1 + 2y * -1) = 2(5y + 9) + y 4 + (1 + -2y) = 2(5y + 9) + y Combine like terms: 4 + 1 = 5 5 + -2y = 2(5y + 9) + y Reorder the terms: 5 + -2y = 2(9 + 5y) + y 5 + -2y = (9 * 2 + 5y * 2) + y 5 + -2y = (18 + 10y) + y Combine like terms: 10y + y = 11y 5 + -2y = 18 + 11y Solving 5 + -2y = 18 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 5 + -2y + -11y = 18 + 11y + -11y Combine like terms: -2y + -11y = -13y 5 + -13y = 18 + 11y + -11y Combine like terms: 11y + -11y = 0 5 + -13y = 18 + 0 5 + -13y = 18 Add '-5' to each side of the equation. 5 + -5 + -13y = 18 + -5 Combine like terms: 5 + -5 = 0 0 + -13y = 18 + -5 -13y = 18 + -5 Combine like terms: 18 + -5 = 13 -13y = 13 Divide each side by '-13'. y = -1 Simplifying y = -1
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